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The algebraic integers in a number field.

A metric space Z^^ in which the closure of a congruence class B(j,m) is the corresponding congruence class {x in Z^^|x=j (mod m)}.

An archaic name for the torus.

The set of sums sum_(x)a_xx ranging over a multiplicative group and a_i are elements of a field with all but a finite number of a_i=0. Group rings are graded algebras.

The intersection product for classes of rational equivalence between cycles on an algebraic variety.

A Möbius strip with finite thickness.

y=delta^'(x-a), where delta(x) is the delta function.

Given a commutative ring R, an R-algebra H is a Hopf algebra if it has additional structure given by R-algebra homomorphisms Delta:H->H tensor _RH (1) (comultiplication) and ...

If R is a Noetherian ring, then S=R[X] is also a Noetherian ring.

A derivation is a sequence of steps, logical or computational, from one result to another. The word derivation comes from the word "derive." "Derivation" can also refer to a ...